Finite gap Jacobi matrices: An announcement

被引：4
作者：
Christiansen, Jacob S. [1 ]
Simon, Barry [1 ]
Zinchenko, Maxim [1 ]
机构：
[1] CALTECH, Pasadena, CA 91125 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 03期
基金：
美国国家科学基金会;
关键词：
Finite gap Jacobi matrices; Isospectral torus; Szego's theorem; Szego asymptotics; Jost function; SUM-RULES; SCHRODINGER-OPERATORS; EXTREMAL POLYNOMIALS; EIGENVALUE BOUNDS; INEQUALITIES;
D O I：
10.1016/j.cam.2009.02.081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. We focus on Szego's theorem, Jost solutions, and Szego asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：652 / 662
页数：11
相关论文
共 40 条
  • [1] Akhiezer N.I., 1960, Sov. Math., V1, P989
  • [2] AKHIEZER NI, 1961, SOV MATH DOKL, V2, P687
  • [3] [Anonymous], 1961, Orthogonal Polynomials: Estimates, Asymptotic Formulas, and Series of Polynomials Orthogonal on the Unit Circle and on An Interval
  • [4] [Anonymous], 1980, Graduate Texts in Mathematics
  • [5] [Anonymous], 2005, AMS C PUBLICATIONS 1, DOI DOI 10.1090/COLL054.1
  • [6] Aptekarev A. I., 1984, MATH USSR SB, V125, p[231, 233]
  • [7] INEQUALITIES FOR CERTAIN FUCHSIAN GROUPS
    BEARDON, AF
    [J]. ACTA MATHEMATICA UPPSALA, 1971, 127 (3-4): : 221 - &
  • [8] Burnside W., 1891, P LOND MATH SOC, V23, P49, DOI DOI 10.1112/PLMS/S1-23.1.49
  • [9] Chihara T.S., 1978, Math. Appl, P13
  • [10] CHRISTIANSEN J, FINITE GAP JAC UNPUB, V2
1234